Question

(3x-4y)^2+2(3x-4y)-35
Factorise the above​

Answer 1

See the attachment.

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Answer 2

$Given \: Quadratic \: polynomial : \\( 3x - 4y )^{2} + 2( 3x - 4y ) - 35$

$Let \: \pink {m = 3x - 4y } \: ---(1)$

/* Rewriting the expression *)

$= m^{2} + 2m - 35$

/* Splitting the middle term, we get */

$= m^{2} + 7m - 5m - 35 \\= m( m + 7 ) - 5( m + 7 )\\= ( m + 7 )( m - 5 ) \\= ( 3x - 4y + 7 )( 3x - 4y - 5 ) \: [ From \: (1) ]$

Therefore.,

$\red { Factorisation \: of \: ( 3x - 4y )^{2} + 2( 3x - 4y ) - 35}$

$\green { = ( 3x - 4y + 7 )( 3x - 4y - 5 ) }$

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